Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/17076

TitleClifford analysis between continuous and discrete
Author(s)Malonek, H. R.
Falcão, M. I.
KeywordsHomogeneous monogenic polynomials
Quaternions
Appell sets
Issue date2008
PublisherAIP Publishing
JournalAIP Conference Proceedings
Abstract(s)Some decades ago D. Knuth et al. have coined concrete mathematics as the blending of CONtinuous and disCRETE math, taking into account that problems of standard discrete mathematics can often be solved by methods based on continuous mathematics together with a controlled manipulation of mathematical formulas. Of course, it was not a new idea, but due to the ongoing emergence of computer aided algebraic manipulation tools of that time it emphasized their use for elegant solutions of old problems or even the detection of new important relationships. Our aim is to show that the same philosophy can be successfully applied to Clifford Analysis by taking advantages of its inherent non-commutative algebra to obtain results or develop methods that are di erent from other ones. In particular, we determine new binomial sums by using a hypercomplex generating function for a special type of monogenic polynomials and develop an algorithm for the determination of their scalar and vector part which illustrates well the diifferences to the corresponding complex case.
TypeConference paper
URIhttp://hdl.handle.net/1822/17076
ISBN978-0-7354-0576-9
DOI10.1063/1.2991019
ISSN0094-243X
Publisher versionlink.aip.org/link/?APCPCS/1048/682/1
Peer-Reviewedyes
AccessOpen access
Appears in Collections:DMA - Artigos (Papers)

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